Equations with one solution, no solutions, or infinite

Front

What is an equation with one solution?

Back

An equation with one solution has exactly one value for the variable that makes the equation true.

Front

What is an equation with no solutions?

Back

An equation with no solutions has no value for the variable that can satisfy the equation, often resulting in a contradiction.

Front

What is an equation with infinite solutions?

Back

An equation with infinite solutions has an unlimited number of values for the variable that make the equation true, often resulting in identical expressions on both sides.

Front

Solve: 8z - 22 = 3(3z + 11) - z

Back

No Solution

Front

Solve: 14 - 2(3p + 1) = 6(4 + p)

Back

One Solution

Front

Solve: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions

Front

Solve: 12(x + 3) = 4(2x + 9) + 4x

Back

Infinite Solutions

Front

Solve: 5.5 - x = -4.5 - x

Back

No Solution

Front

What does it mean if an equation simplifies to a true statement like 0 = 0?

Back

It indicates that the equation has infinite solutions.

Front

What does it mean if an equation simplifies to a false statement like 5 = 0?

Back

It indicates that the equation has no solutions.